5163312000 has 768 divisors, whose sum is σ = 21670871040. Its totient is φ = 1064448000.

The previous prime is 5163311939. The next prime is 5163312013. The reversal of 5163312000 is 2133615.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40655937 + ... + 40656063.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 2^5163312000 is an apocalyptic number.

5163312000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5163312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835435520).

5163312000 is an abundant number, since it is smaller than the sum of its proper divisors (16507559040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5163312000 is a wasteful number, since it uses less digits than its factorization.

5163312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5163312000 is about 71856.1897125084. The cubic root of 5163312000 is about 1728.3941573423.

Adding to 5163312000 its reverse (2133615), we get a palindrome (5165445615).

The spelling of 5163312000 in words is "five billion, one hundred sixty-three million, three hundred twelve thousand".